Spatial Regression

This notebook illustrates fitting a Guassian process for daily average Nitrous Oxide levels with data from all sites on date number 103.

0. Prepare Environment

1. Load Dataset

Check spatial distribution.

2. Type II Likelihood Maximisation

3. Markov Chain Monte Carlo

3.1 Posterior Mean

3.2. Maximum A Posteriori

3.3. Posterior Credible Interval

4. Variational Inference

4.1. Posterior Mean

4.2. Maximum A Posteriori

4.3. Posterior Credible Interval